Abstract
A system of heat equations in a nonholonomic frame is considered. Solutions of the system are constructed in the form of general sigma functions of Abelian tori. As a corollary, we solve the problem (of general interest) to describe the generators of the ring of differential operators annihilating the sigma functions of families of plane algebraic curves.
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Buchstaber, V.M., Leykin, D.V. Heat Equations in a Nonholomic Frame. Functional Analysis and Its Applications 38, 88–101 (2004). https://doi.org/10.1023/B:FAIA.0000034039.92913.8a
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DOI: https://doi.org/10.1023/B:FAIA.0000034039.92913.8a